Solved: Consider the function (a) What is the domain of (b) Find (c) If is a real number
Chapter 5, Problem 91(choose chapter or problem)
Consider the function \(f(x)=\log _{10} x\).
(a) What is the domain of f?
(b) Find \(f^{-1}\).
(c) If x is a real number between 1000 and 10,000, determine the interval in which f(x) will be found.
(d) Determine the interval in which x will be found if f(x) is negative.
(e) If f(x) is increased by one unit, x must have been increased by what factor?
(f) Find the ratio of \(x_{1}\) to \(x_{2}\) given that \(f\left(x_{1}\right)=3 n\) and \(f\left(x_{2}\right)=n\).
Text Transcription:
f(x) = log_10 x
f^-1
x_1
x_2
f(x_1) = 3n
f(x_2) = n
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